2. The heights of certain plants are normally distributed. The plants are classified into three categories.The shortest 12.92% are in category A.The tallest 10.38% are in category C.All the other plants are in category B with heights between r cm and t cm.a). Diagram to represent this info.b). Given that the mean height is 6.84 cm and the standard deviation 0.25cm, find the value of r and t

By GDC (Casio) menu>STAT>DIST>NORM>Ncd with Lower:-9*10^99, Upper:475, , and you get

b). Given that P(X>a)=0.27, find a.Answer:

Here you have inverse normal

By GDC (Casio) menu>STAT>DIST>NORM>InvN with Tail:Right, Area:0.27, , and you get a=462.25626

2. The heights of certain plants are normally distributed. The plants are classified into three categories.The shortest 12.92% are in category A.The tallest 10.38% are in category C.All the other plants are in category B with heights between r cm and t cm.a). Diagram to represent this info.b). Given that the mean height is 6.84 cm and the standard deviation 0.25cm, find the value of r and t

Answer:P(q<B<r)=0.9

Again you have an inverse normal case with Area 100%-12.92%-10.38%=76.7%

By GDC (Casio) menu>STAT>DIST>NORM>InvN with Tail:Central, Area:0.767, , and you get q=6.5418337 and r=7.13816663